Numerical Optimization
Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.
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Numerical Optimization
Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.
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Numerical Optimization

Numerical Optimization

Numerical Optimization

Numerical Optimization

Overview

Optimization is an important tool used in decision science and for the analysis of physical systems used in engineering. One can trace its roots to the Calculus of Variations and the work of Euler and Lagrange. This natural and reasonable approach to mathematical programming covers numerical methods for finite-dimensional optimization problems. It begins with very simple ideas progressing through more complicated concepts, concentrating on methods for both unconstrained and constrained optimization.

Product Details

ISBN-13: 9781493937110
Publisher: Springer New York
Publication date: 04/01/2009
Series: Springer Series in Operations Research and Financial Engineering
Edition description: 2nd ed. 2006
Pages: 664
Product dimensions: 7.01(w) x 9.25(h) x (d)

Table of Contents

Fundamentals of Unconstrained Optimization.- Line Search Methods.- Trust-Region Methods.- Conjugate Gradient Methods.- Quasi-Newton Methods.- Large-Scale Unconstrained Optimization.- Calculating Derivatives.- Derivative-Free Optimization.- Least-Squares Problems.- Nonlinear Equations.- Theory of Constrained Optimization.- Linear Programming: The Simplex Method.- Linear Programming: Interior-Point Methods.- Fundamentals of Algorithms for Nonlinear Constrained Optimization.- Quadratic Programming.- Penalty and Augmented Lagrangian Methods.- Sequential Quadratic Programming.- Interior-Point Methods for Nonlinear Programming.
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